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Simplifying -3r + -21 = -1(r + 3) + -2 Reorder the terms: -21 + -3r = -1(r + 3) + -2 Reorder the terms: -21 + -3r = -1(3 + r) + -2 -21 + -3r = (3 * -1 + r * -1) + -2 -21 + -3r = (-3 + -1r) + -2 Reorder the terms: -21 + -3r = -3 + -2 + -1r Combine like terms: -3 + -2 = -5 -21 + -3r = -5 + -1r Solving -21 + -3r = -5 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -21 + -3r + r = -5 + -1r + r Combine like terms: -3r + r = -2r -21 + -2r = -5 + -1r + r Combine like terms: -1r + r = 0 -21 + -2r = -5 + 0 -21 + -2r = -5 Add '21' to each side of the equation. -21 + 21 + -2r = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -2r = -5 + 21 -2r = -5 + 21 Combine like terms: -5 + 21 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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