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Simplifying -5 + -6(6 + 4r) = -4r + -21 -5 + (6 * -6 + 4r * -6) = -4r + -21 -5 + (-36 + -24r) = -4r + -21 Combine like terms: -5 + -36 = -41 -41 + -24r = -4r + -21 Reorder the terms: -41 + -24r = -21 + -4r Solving -41 + -24r = -21 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -41 + -24r + 4r = -21 + -4r + 4r Combine like terms: -24r + 4r = -20r -41 + -20r = -21 + -4r + 4r Combine like terms: -4r + 4r = 0 -41 + -20r = -21 + 0 -41 + -20r = -21 Add '41' to each side of the equation. -41 + 41 + -20r = -21 + 41 Combine like terms: -41 + 41 = 0 0 + -20r = -21 + 41 -20r = -21 + 41 Combine like terms: -21 + 41 = 20 -20r = 20 Divide each side by '-20'. r = -1 Simplifying r = -1
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