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Simplifying -37 + -8r = 4(1 + -8r) + 7 -37 + -8r = (1 * 4 + -8r * 4) + 7 -37 + -8r = (4 + -32r) + 7 Reorder the terms: -37 + -8r = 4 + 7 + -32r Combine like terms: 4 + 7 = 11 -37 + -8r = 11 + -32r Solving -37 + -8r = 11 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. -37 + -8r + 32r = 11 + -32r + 32r Combine like terms: -8r + 32r = 24r -37 + 24r = 11 + -32r + 32r Combine like terms: -32r + 32r = 0 -37 + 24r = 11 + 0 -37 + 24r = 11 Add '37' to each side of the equation. -37 + 37 + 24r = 11 + 37 Combine like terms: -37 + 37 = 0 0 + 24r = 11 + 37 24r = 11 + 37 Combine like terms: 11 + 37 = 48 24r = 48 Divide each side by '24'. r = 2 Simplifying r = 2
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