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Simplifying -37 = 6(r + -8) + -7 Reorder the terms: -37 = 6(-8 + r) + -7 -37 = (-8 * 6 + r * 6) + -7 -37 = (-48 + 6r) + -7 Reorder the terms: -37 = -48 + -7 + 6r Combine like terms: -48 + -7 = -55 -37 = -55 + 6r Solving -37 = -55 + 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. -37 + -6r = -55 + 6r + -6r Combine like terms: 6r + -6r = 0 -37 + -6r = -55 + 0 -37 + -6r = -55 Add '37' to each side of the equation. -37 + 37 + -6r = -55 + 37 Combine like terms: -37 + 37 = 0 0 + -6r = -55 + 37 -6r = -55 + 37 Combine like terms: -55 + 37 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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