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Simplifying 5(k + -3) + 3(8 + -1k) = 21 + -7(k + -6) Reorder the terms: 5(-3 + k) + 3(8 + -1k) = 21 + -7(k + -6) (-3 * 5 + k * 5) + 3(8 + -1k) = 21 + -7(k + -6) (-15 + 5k) + 3(8 + -1k) = 21 + -7(k + -6) -15 + 5k + (8 * 3 + -1k * 3) = 21 + -7(k + -6) -15 + 5k + (24 + -3k) = 21 + -7(k + -6) Reorder the terms: -15 + 24 + 5k + -3k = 21 + -7(k + -6) Combine like terms: -15 + 24 = 9 9 + 5k + -3k = 21 + -7(k + -6) Combine like terms: 5k + -3k = 2k 9 + 2k = 21 + -7(k + -6) Reorder the terms: 9 + 2k = 21 + -7(-6 + k) 9 + 2k = 21 + (-6 * -7 + k * -7) 9 + 2k = 21 + (42 + -7k) Combine like terms: 21 + 42 = 63 9 + 2k = 63 + -7k Solving 9 + 2k = 63 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 9 + 2k + 7k = 63 + -7k + 7k Combine like terms: 2k + 7k = 9k 9 + 9k = 63 + -7k + 7k Combine like terms: -7k + 7k = 0 9 + 9k = 63 + 0 9 + 9k = 63 Add '-9' to each side of the equation. 9 + -9 + 9k = 63 + -9 Combine like terms: 9 + -9 = 0 0 + 9k = 63 + -9 9k = 63 + -9 Combine like terms: 63 + -9 = 54 9k = 54 Divide each side by '9'. k = 6 Simplifying k = 6
| F(x)=2(13-x^4) | | 38+5-25x=5.70 | | 6x-9-5(2x-3)=14-2x+6(2-x) | | -14n+25n+25=0 | | (0)-(5)= | | 5x+42+7x+87=360 | | (-5)-(0)= | | -12+6a=12 | | .70(65)+.70(73)+.70x+.10(85)+.20(40)=70 | | 5=6(1-5)-19 | | 8=e+9 | | 4x^3+6x^2+5=0 | | 5(p+2)=4(p+1) | | 7/10×4= | | 12x-4y=15x+12y | | x/-5=-13 | | (-7)+(9)= | | 24x^2-11x-3-3x=0 | | 14b=57 | | 7.5÷9/= | | 20x^3-60=0 | | x/-3=40 | | .06s+16000=.07s | | (9)-(5)= | | (3)+(-5)= | | 49n^3+28n^2-28n-16=0 | | 8c-9=2c+40 | | 6(y+5)=42 | | 26-4x=38 | | -x-2x-3x=-7-14 | | -5b=-145 | | 1/2(10x-7) |