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Simplifying -12 + 4r = 5(6 + 5r) -12 + 4r = (6 * 5 + 5r * 5) -12 + 4r = (30 + 25r) Solving -12 + 4r = 30 + 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. -12 + 4r + -25r = 30 + 25r + -25r Combine like terms: 4r + -25r = -21r -12 + -21r = 30 + 25r + -25r Combine like terms: 25r + -25r = 0 -12 + -21r = 30 + 0 -12 + -21r = 30 Add '12' to each side of the equation. -12 + 12 + -21r = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -21r = 30 + 12 -21r = 30 + 12 Combine like terms: 30 + 12 = 42 -21r = 42 Divide each side by '-21'. r = -2 Simplifying r = -2
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