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Simplifying 5 + -6(3r + 5) = r + 32 Reorder the terms: 5 + -6(5 + 3r) = r + 32 5 + (5 * -6 + 3r * -6) = r + 32 5 + (-30 + -18r) = r + 32 Combine like terms: 5 + -30 = -25 -25 + -18r = r + 32 Reorder the terms: -25 + -18r = 32 + r Solving -25 + -18r = 32 + 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. -25 + -18r + -1r = 32 + r + -1r Combine like terms: -18r + -1r = -19r -25 + -19r = 32 + r + -1r Combine like terms: r + -1r = 0 -25 + -19r = 32 + 0 -25 + -19r = 32 Add '25' to each side of the equation. -25 + 25 + -19r = 32 + 25 Combine like terms: -25 + 25 = 0 0 + -19r = 32 + 25 -19r = 32 + 25 Combine like terms: 32 + 25 = 57 -19r = 57 Divide each side by '-19'. r = -3 Simplifying r = -3
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