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Simplifying 9 + -6(4r + -1) = r + -15 Reorder the terms: 9 + -6(-1 + 4r) = r + -15 9 + (-1 * -6 + 4r * -6) = r + -15 9 + (6 + -24r) = r + -15 Combine like terms: 9 + 6 = 15 15 + -24r = r + -15 Reorder the terms: 15 + -24r = -15 + r Solving 15 + -24r = -15 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 15 + -24r + -1r = -15 + r + -1r Combine like terms: -24r + -1r = -25r 15 + -25r = -15 + r + -1r Combine like terms: r + -1r = 0 15 + -25r = -15 + 0 15 + -25r = -15 Add '-15' to each side of the equation. 15 + -15 + -25r = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -25r = -15 + -15 -25r = -15 + -15 Combine like terms: -15 + -15 = -30 -25r = -30 Divide each side by '-25'. r = 1.2 Simplifying r = 1.2
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