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Simplifying 8(-4 + -2r) = 5(8 + -2r) (-4 * 8 + -2r * 8) = 5(8 + -2r) (-32 + -16r) = 5(8 + -2r) -32 + -16r = (8 * 5 + -2r * 5) -32 + -16r = (40 + -10r) Solving -32 + -16r = 40 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -32 + -16r + 10r = 40 + -10r + 10r Combine like terms: -16r + 10r = -6r -32 + -6r = 40 + -10r + 10r Combine like terms: -10r + 10r = 0 -32 + -6r = 40 + 0 -32 + -6r = 40 Add '32' to each side of the equation. -32 + 32 + -6r = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -6r = 40 + 32 -6r = 40 + 32 Combine like terms: 40 + 32 = 72 -6r = 72 Divide each side by '-6'. r = -12 Simplifying r = -12
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