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Simplifying -8(r + -6) + -3 = -21 + 3r Reorder the terms: -8(-6 + r) + -3 = -21 + 3r (-6 * -8 + r * -8) + -3 = -21 + 3r (48 + -8r) + -3 = -21 + 3r Reorder the terms: 48 + -3 + -8r = -21 + 3r Combine like terms: 48 + -3 = 45 45 + -8r = -21 + 3r Solving 45 + -8r = -21 + 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. 45 + -8r + -3r = -21 + 3r + -3r Combine like terms: -8r + -3r = -11r 45 + -11r = -21 + 3r + -3r Combine like terms: 3r + -3r = 0 45 + -11r = -21 + 0 45 + -11r = -21 Add '-45' to each side of the equation. 45 + -45 + -11r = -21 + -45 Combine like terms: 45 + -45 = 0 0 + -11r = -21 + -45 -11r = -21 + -45 Combine like terms: -21 + -45 = -66 -11r = -66 Divide each side by '-11'. r = 6 Simplifying r = 6
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