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Simplifying -6 = 0.75(r + -12) Reorder the terms: -6 = 0.75(-12 + r) -6 = (-12 * 0.75 + r * 0.75) -6 = (-9 + 0.75r) Solving -6 = -9 + 0.75r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.75r' to each side of the equation. -6 + -0.75r = -9 + 0.75r + -0.75r Combine like terms: 0.75r + -0.75r = 0.00 -6 + -0.75r = -9 + 0.00 -6 + -0.75r = -9 Add '6' to each side of the equation. -6 + 6 + -0.75r = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -0.75r = -9 + 6 -0.75r = -9 + 6 Combine like terms: -9 + 6 = -3 -0.75r = -3 Divide each side by '-0.75'. r = 4 Simplifying r = 4
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