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Simplifying 6(3t + -2) + 15 = 5(t + -2) + -1(2t + 3) Reorder the terms: 6(-2 + 3t) + 15 = 5(t + -2) + -1(2t + 3) (-2 * 6 + 3t * 6) + 15 = 5(t + -2) + -1(2t + 3) (-12 + 18t) + 15 = 5(t + -2) + -1(2t + 3) Reorder the terms: -12 + 15 + 18t = 5(t + -2) + -1(2t + 3) Combine like terms: -12 + 15 = 3 3 + 18t = 5(t + -2) + -1(2t + 3) Reorder the terms: 3 + 18t = 5(-2 + t) + -1(2t + 3) 3 + 18t = (-2 * 5 + t * 5) + -1(2t + 3) 3 + 18t = (-10 + 5t) + -1(2t + 3) Reorder the terms: 3 + 18t = -10 + 5t + -1(3 + 2t) 3 + 18t = -10 + 5t + (3 * -1 + 2t * -1) 3 + 18t = -10 + 5t + (-3 + -2t) Reorder the terms: 3 + 18t = -10 + -3 + 5t + -2t Combine like terms: -10 + -3 = -13 3 + 18t = -13 + 5t + -2t Combine like terms: 5t + -2t = 3t 3 + 18t = -13 + 3t Solving 3 + 18t = -13 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 3 + 18t + -3t = -13 + 3t + -3t Combine like terms: 18t + -3t = 15t 3 + 15t = -13 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 15t = -13 + 0 3 + 15t = -13 Add '-3' to each side of the equation. 3 + -3 + 15t = -13 + -3 Combine like terms: 3 + -3 = 0 0 + 15t = -13 + -3 15t = -13 + -3 Combine like terms: -13 + -3 = -16 15t = -16 Divide each side by '15'. t = -1.066666667 Simplifying t = -1.066666667
| 4x/9=5 | | 2x^2-16+26=0 | | 4n+12=23 | | 5x-9=9x+5 | | 4x+6(7x-18)=122 | | 9x+9=4x+8 | | x+4=19-2 | | q-2+3=-2 | | 5a-40=30 | | 22m+1936=484+66m | | 2(0)+5y=7 | | 10(s+3)=3(s-12)+24 | | (.25a-12)/8=4 | | 6x^2+66x+180=0 | | -9.2t+0.414=1-2.76t | | 10x+8=6x+7 | | 6/7=-x/84 | | -0.3x=2.7 | | 7x-5y+11=0 | | -1/9n33 | | 5x+3(3x-2)=106 | | 2*0+5y=7 | | 5.8z-1.8=6.6z+4.6 | | 0.5+4=0.1(p+8)+0.4(p+1) | | 16ln*x=30 | | .25a-12/8=4 | | 721=m-50 | | 4-2/3x=2 | | 0=5x^2+14x+2 | | 0.5p+4=0.1(p+8)+0.4(p+1) | | U-227=5 | | .25*a-12/8=4 |