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Simplifying -7r + 6r = 4(r + 2) + -6(r + 3) Combine like terms: -7r + 6r = -1r -1r = 4(r + 2) + -6(r + 3) Reorder the terms: -1r = 4(2 + r) + -6(r + 3) -1r = (2 * 4 + r * 4) + -6(r + 3) -1r = (8 + 4r) + -6(r + 3) Reorder the terms: -1r = 8 + 4r + -6(3 + r) -1r = 8 + 4r + (3 * -6 + r * -6) -1r = 8 + 4r + (-18 + -6r) Reorder the terms: -1r = 8 + -18 + 4r + -6r Combine like terms: 8 + -18 = -10 -1r = -10 + 4r + -6r Combine like terms: 4r + -6r = -2r -1r = -10 + -2r Solving -1r = -10 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -1r + 2r = -10 + -2r + 2r Combine like terms: -1r + 2r = 1r 1r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 1r = -10 + 0 1r = -10 Divide each side by '1'. r = -10 Simplifying r = -10
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