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Simplifying -21 + -7r = -8(8r + -5) + -4 Reorder the terms: -21 + -7r = -8(-5 + 8r) + -4 -21 + -7r = (-5 * -8 + 8r * -8) + -4 -21 + -7r = (40 + -64r) + -4 Reorder the terms: -21 + -7r = 40 + -4 + -64r Combine like terms: 40 + -4 = 36 -21 + -7r = 36 + -64r Solving -21 + -7r = 36 + -64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '64r' to each side of the equation. -21 + -7r + 64r = 36 + -64r + 64r Combine like terms: -7r + 64r = 57r -21 + 57r = 36 + -64r + 64r Combine like terms: -64r + 64r = 0 -21 + 57r = 36 + 0 -21 + 57r = 36 Add '21' to each side of the equation. -21 + 21 + 57r = 36 + 21 Combine like terms: -21 + 21 = 0 0 + 57r = 36 + 21 57r = 36 + 21 Combine like terms: 36 + 21 = 57 57r = 57 Divide each side by '57'. r = 1 Simplifying r = 1
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