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Simplifying r + -8(4r + -6) = -8r + -21 Reorder the terms: r + -8(-6 + 4r) = -8r + -21 r + (-6 * -8 + 4r * -8) = -8r + -21 r + (48 + -32r) = -8r + -21 Reorder the terms: 48 + r + -32r = -8r + -21 Combine like terms: r + -32r = -31r 48 + -31r = -8r + -21 Reorder the terms: 48 + -31r = -21 + -8r Solving 48 + -31r = -21 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 48 + -31r + 8r = -21 + -8r + 8r Combine like terms: -31r + 8r = -23r 48 + -23r = -21 + -8r + 8r Combine like terms: -8r + 8r = 0 48 + -23r = -21 + 0 48 + -23r = -21 Add '-48' to each side of the equation. 48 + -48 + -23r = -21 + -48 Combine like terms: 48 + -48 = 0 0 + -23r = -21 + -48 -23r = -21 + -48 Combine like terms: -21 + -48 = -69 -23r = -69 Divide each side by '-23'. r = 3 Simplifying r = 3
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