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Simplifying 8(4 + -1r) + r = -6(3 + r) (4 * 8 + -1r * 8) + r = -6(3 + r) (32 + -8r) + r = -6(3 + r) Combine like terms: -8r + r = -7r 32 + -7r = -6(3 + r) 32 + -7r = (3 * -6 + r * -6) 32 + -7r = (-18 + -6r) Solving 32 + -7r = -18 + -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. 32 + -7r + 6r = -18 + -6r + 6r Combine like terms: -7r + 6r = -1r 32 + -1r = -18 + -6r + 6r Combine like terms: -6r + 6r = 0 32 + -1r = -18 + 0 32 + -1r = -18 Add '-32' to each side of the equation. 32 + -32 + -1r = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -1r = -18 + -32 -1r = -18 + -32 Combine like terms: -18 + -32 = -50 -1r = -50 Divide each side by '-1'. r = 50 Simplifying r = 50
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