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Simplifying -8(7r + -10) + -16 = -8(16r + 10) Reorder the terms: -8(-10 + 7r) + -16 = -8(16r + 10) (-10 * -8 + 7r * -8) + -16 = -8(16r + 10) (80 + -56r) + -16 = -8(16r + 10) Reorder the terms: 80 + -16 + -56r = -8(16r + 10) Combine like terms: 80 + -16 = 64 64 + -56r = -8(16r + 10) Reorder the terms: 64 + -56r = -8(10 + 16r) 64 + -56r = (10 * -8 + 16r * -8) 64 + -56r = (-80 + -128r) Solving 64 + -56r = -80 + -128r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '128r' to each side of the equation. 64 + -56r + 128r = -80 + -128r + 128r Combine like terms: -56r + 128r = 72r 64 + 72r = -80 + -128r + 128r Combine like terms: -128r + 128r = 0 64 + 72r = -80 + 0 64 + 72r = -80 Add '-64' to each side of the equation. 64 + -64 + 72r = -80 + -64 Combine like terms: 64 + -64 = 0 0 + 72r = -80 + -64 72r = -80 + -64 Combine like terms: -80 + -64 = -144 72r = -144 Divide each side by '72'. r = -2 Simplifying r = -2
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