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Simplifying -4r + -13 = 7 + -6(r + 2) Reorder the terms: -13 + -4r = 7 + -6(r + 2) Reorder the terms: -13 + -4r = 7 + -6(2 + r) -13 + -4r = 7 + (2 * -6 + r * -6) -13 + -4r = 7 + (-12 + -6r) Combine like terms: 7 + -12 = -5 -13 + -4r = -5 + -6r Solving -13 + -4r = -5 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -13 + -4r + 6r = -5 + -6r + 6r Combine like terms: -4r + 6r = 2r -13 + 2r = -5 + -6r + 6r Combine like terms: -6r + 6r = 0 -13 + 2r = -5 + 0 -13 + 2r = -5 Add '13' to each side of the equation. -13 + 13 + 2r = -5 + 13 Combine like terms: -13 + 13 = 0 0 + 2r = -5 + 13 2r = -5 + 13 Combine like terms: -5 + 13 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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