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Simplifying 9(2r + -5) + -3 = 7r + -4 Reorder the terms: 9(-5 + 2r) + -3 = 7r + -4 (-5 * 9 + 2r * 9) + -3 = 7r + -4 (-45 + 18r) + -3 = 7r + -4 Reorder the terms: -45 + -3 + 18r = 7r + -4 Combine like terms: -45 + -3 = -48 -48 + 18r = 7r + -4 Reorder the terms: -48 + 18r = -4 + 7r Solving -48 + 18r = -4 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -48 + 18r + -7r = -4 + 7r + -7r Combine like terms: 18r + -7r = 11r -48 + 11r = -4 + 7r + -7r Combine like terms: 7r + -7r = 0 -48 + 11r = -4 + 0 -48 + 11r = -4 Add '48' to each side of the equation. -48 + 48 + 11r = -4 + 48 Combine like terms: -48 + 48 = 0 0 + 11r = -4 + 48 11r = -4 + 48 Combine like terms: -4 + 48 = 44 11r = 44 Divide each side by '11'. r = 4 Simplifying r = 4
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