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Simplifying r + 42 = 8(r + -10.5) Reorder the terms: 42 + r = 8(r + -10.5) Reorder the terms: 42 + r = 8(-10.5 + r) 42 + r = (-10.5 * 8 + r * 8) 42 + r = (-84 + 8r) Solving 42 + r = -84 + 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. 42 + r + -8r = -84 + 8r + -8r Combine like terms: r + -8r = -7r 42 + -7r = -84 + 8r + -8r Combine like terms: 8r + -8r = 0 42 + -7r = -84 + 0 42 + -7r = -84 Add '-42' to each side of the equation. 42 + -42 + -7r = -84 + -42 Combine like terms: 42 + -42 = 0 0 + -7r = -84 + -42 -7r = -84 + -42 Combine like terms: -84 + -42 = -126 -7r = -126 Divide each side by '-7'. r = 18 Simplifying r = 18
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