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Simplifying -4(9r + -8) + 5 = 37 + 10r Reorder the terms: -4(-8 + 9r) + 5 = 37 + 10r (-8 * -4 + 9r * -4) + 5 = 37 + 10r (32 + -36r) + 5 = 37 + 10r Reorder the terms: 32 + 5 + -36r = 37 + 10r Combine like terms: 32 + 5 = 37 37 + -36r = 37 + 10r Add '-37' to each side of the equation. 37 + -37 + -36r = 37 + -37 + 10r Combine like terms: 37 + -37 = 0 0 + -36r = 37 + -37 + 10r -36r = 37 + -37 + 10r Combine like terms: 37 + -37 = 0 -36r = 0 + 10r -36r = 10r Solving -36r = 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. -36r + -10r = 10r + -10r Combine like terms: -36r + -10r = -46r -46r = 10r + -10r Combine like terms: 10r + -10r = 0 -46r = 0 Divide each side by '-46'. r = 0 Simplifying r = 0
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