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Simplifying 10r + 7 = 8(2r + -4) + -9 Reorder the terms: 7 + 10r = 8(2r + -4) + -9 Reorder the terms: 7 + 10r = 8(-4 + 2r) + -9 7 + 10r = (-4 * 8 + 2r * 8) + -9 7 + 10r = (-32 + 16r) + -9 Reorder the terms: 7 + 10r = -32 + -9 + 16r Combine like terms: -32 + -9 = -41 7 + 10r = -41 + 16r Solving 7 + 10r = -41 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. 7 + 10r + -16r = -41 + 16r + -16r Combine like terms: 10r + -16r = -6r 7 + -6r = -41 + 16r + -16r Combine like terms: 16r + -16r = 0 7 + -6r = -41 + 0 7 + -6r = -41 Add '-7' to each side of the equation. 7 + -7 + -6r = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = -41 + -7 -6r = -41 + -7 Combine like terms: -41 + -7 = -48 -6r = -48 Divide each side by '-6'. r = 8 Simplifying r = 8
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