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Simplifying 3r + -15 = 6(r + -6) Reorder the terms: -15 + 3r = 6(r + -6) Reorder the terms: -15 + 3r = 6(-6 + r) -15 + 3r = (-6 * 6 + r * 6) -15 + 3r = (-36 + 6r) Solving -15 + 3r = -36 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -15 + 3r + -6r = -36 + 6r + -6r Combine like terms: 3r + -6r = -3r -15 + -3r = -36 + 6r + -6r Combine like terms: 6r + -6r = 0 -15 + -3r = -36 + 0 -15 + -3r = -36 Add '15' to each side of the equation. -15 + 15 + -3r = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -3r = -36 + 15 -3r = -36 + 15 Combine like terms: -36 + 15 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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