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Simplifying -5.7(r + 10) + 9 = 7(r + -4.8) + -1.6 Reorder the terms: -5.7(10 + r) + 9 = 7(r + -4.8) + -1.6 (10 * -5.7 + r * -5.7) + 9 = 7(r + -4.8) + -1.6 (-57 + -5.7r) + 9 = 7(r + -4.8) + -1.6 Reorder the terms: -57 + 9 + -5.7r = 7(r + -4.8) + -1.6 Combine like terms: -57 + 9 = -48 -48 + -5.7r = 7(r + -4.8) + -1.6 Reorder the terms: -48 + -5.7r = 7(-4.8 + r) + -1.6 -48 + -5.7r = (-4.8 * 7 + r * 7) + -1.6 -48 + -5.7r = (-33.6 + 7r) + -1.6 Reorder the terms: -48 + -5.7r = -33.6 + -1.6 + 7r Combine like terms: -33.6 + -1.6 = -35.2 -48 + -5.7r = -35.2 + 7r Solving -48 + -5.7r = -35.2 + 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 + -5.7r + -7r = -35.2 + 7r + -7r Combine like terms: -5.7r + -7r = -12.7r -48 + -12.7r = -35.2 + 7r + -7r Combine like terms: 7r + -7r = 0 -48 + -12.7r = -35.2 + 0 -48 + -12.7r = -35.2 Add '48' to each side of the equation. -48 + 48 + -12.7r = -35.2 + 48 Combine like terms: -48 + 48 = 0 0 + -12.7r = -35.2 + 48 -12.7r = -35.2 + 48 Combine like terms: -35.2 + 48 = 12.8 -12.7r = 12.8 Divide each side by '-12.7'. r = -1.007874016 Simplifying r = -1.007874016
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