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Simplifying -21 = 3(r + -9) + -10 Reorder the terms: -21 = 3(-9 + r) + -10 -21 = (-9 * 3 + r * 3) + -10 -21 = (-27 + 3r) + -10 Reorder the terms: -21 = -27 + -10 + 3r Combine like terms: -27 + -10 = -37 -21 = -37 + 3r Solving -21 = -37 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -21 + -3r = -37 + 3r + -3r Combine like terms: 3r + -3r = 0 -21 + -3r = -37 + 0 -21 + -3r = -37 Add '21' to each side of the equation. -21 + 21 + -3r = -37 + 21 Combine like terms: -21 + 21 = 0 0 + -3r = -37 + 21 -3r = -37 + 21 Combine like terms: -37 + 21 = -16 -3r = -16 Divide each side by '-3'. r = 5.333333333 Simplifying r = 5.333333333
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