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Simplifying (r + -3) = 8(r + -4) Reorder the terms: (-3 + r) = 8(r + -4) Remove parenthesis around (-3 + r) -3 + r = 8(r + -4) Reorder the terms: -3 + r = 8(-4 + r) -3 + r = (-4 * 8 + r * 8) -3 + r = (-32 + 8r) Solving -3 + r = -32 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -3 + r + -8r = -32 + 8r + -8r Combine like terms: r + -8r = -7r -3 + -7r = -32 + 8r + -8r Combine like terms: 8r + -8r = 0 -3 + -7r = -32 + 0 -3 + -7r = -32 Add '3' to each side of the equation. -3 + 3 + -7r = -32 + 3 Combine like terms: -3 + 3 = 0 0 + -7r = -32 + 3 -7r = -32 + 3 Combine like terms: -32 + 3 = -29 -7r = -29 Divide each side by '-7'. r = 4.142857143 Simplifying r = 4.142857143
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