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Simplifying 7(4a + -3) + -1(2a + 1) * 9 = 2(a + -9) Reorder the terms: 7(-3 + 4a) + -1(2a + 1) * 9 = 2(a + -9) (-3 * 7 + 4a * 7) + -1(2a + 1) * 9 = 2(a + -9) (-21 + 28a) + -1(2a + 1) * 9 = 2(a + -9) Reorder the terms: -21 + 28a + -1(1 + 2a) * 9 = 2(a + -9) Reorder the terms for easier multiplication: -21 + 28a + -1 * 9(1 + 2a) = 2(a + -9) Multiply -1 * 9 -21 + 28a + -9(1 + 2a) = 2(a + -9) -21 + 28a + (1 * -9 + 2a * -9) = 2(a + -9) -21 + 28a + (-9 + -18a) = 2(a + -9) Reorder the terms: -21 + -9 + 28a + -18a = 2(a + -9) Combine like terms: -21 + -9 = -30 -30 + 28a + -18a = 2(a + -9) Combine like terms: 28a + -18a = 10a -30 + 10a = 2(a + -9) Reorder the terms: -30 + 10a = 2(-9 + a) -30 + 10a = (-9 * 2 + a * 2) -30 + 10a = (-18 + 2a) Solving -30 + 10a = -18 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -30 + 10a + -2a = -18 + 2a + -2a Combine like terms: 10a + -2a = 8a -30 + 8a = -18 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 8a = -18 + 0 -30 + 8a = -18 Add '30' to each side of the equation. -30 + 30 + 8a = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 8a = -18 + 30 8a = -18 + 30 Combine like terms: -18 + 30 = 12 8a = 12 Divide each side by '8'. a = 1.5 Simplifying a = 1.5
| 8(x-9)=2(3x-8) | | 9=40+5 | | (2/3)p-4=6 | | 4t^2+2t-5=0 | | 7x=4(x-9)+3 | | y/6-3=1 | | 2622=3800-0.69 | | (-x+10)(-x-14)=0 | | 200m-100m+58500=60000-200m | | x/6-10=7/12 | | 40/38 | | 3s^2-s-9=0 | | -117=-9(x+3) | | 2(-3a+5)=49(a+4) | | 7/8n=35 | | 2a-8+4a=5a+6 | | 38=-6x-x+3 | | 1/2x-9=2 | | 4y-6=-42 | | (2/5)c-8=4 | | (5x-2)+(x^2+8)=90 | | 4y^2-2y^3-7y^2+5y^3= | | 14v-9v=30 | | 4c^2-52c^3+186c^2=0 | | -18=-3(z-6)+2z | | 12x^2-44x+126=0 | | 3-2/9=1/3b-7 | | -48=2-5v | | 1/6n=3 | | 3v-6=9v+12 | | -3(w+4)=15 | | -2(y+4)=20-2y-12 |