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Simplifying -6r + -21 = 6r + -5(1 + 2r) Reorder the terms: -21 + -6r = 6r + -5(1 + 2r) -21 + -6r = 6r + (1 * -5 + 2r * -5) -21 + -6r = 6r + (-5 + -10r) Reorder the terms: -21 + -6r = -5 + 6r + -10r Combine like terms: 6r + -10r = -4r -21 + -6r = -5 + -4r Solving -21 + -6r = -5 + -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. -21 + -6r + 4r = -5 + -4r + 4r Combine like terms: -6r + 4r = -2r -21 + -2r = -5 + -4r + 4r Combine like terms: -4r + 4r = 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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