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Simplifying -3r + 16 = r + 4(6r + -3) Reorder the terms: 16 + -3r = r + 4(6r + -3) Reorder the terms: 16 + -3r = r + 4(-3 + 6r) 16 + -3r = r + (-3 * 4 + 6r * 4) 16 + -3r = r + (-12 + 24r) Reorder the terms: 16 + -3r = -12 + r + 24r Combine like terms: r + 24r = 25r 16 + -3r = -12 + 25r Solving 16 + -3r = -12 + 25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25r' to each side of the equation. 16 + -3r + -25r = -12 + 25r + -25r Combine like terms: -3r + -25r = -28r 16 + -28r = -12 + 25r + -25r Combine like terms: 25r + -25r = 0 16 + -28r = -12 + 0 16 + -28r = -12 Add '-16' to each side of the equation. 16 + -16 + -28r = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -28r = -12 + -16 -28r = -12 + -16 Combine like terms: -12 + -16 = -28 -28r = -28 Divide each side by '-28'. r = 1 Simplifying r = 1
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