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Simplifying 7r + -42 = 7(-3 + 2r) Reorder the terms: -42 + 7r = 7(-3 + 2r) -42 + 7r = (-3 * 7 + 2r * 7) -42 + 7r = (-21 + 14r) Solving -42 + 7r = -21 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -42 + 7r + -14r = -21 + 14r + -14r Combine like terms: 7r + -14r = -7r -42 + -7r = -21 + 14r + -14r Combine like terms: 14r + -14r = 0 -42 + -7r = -21 + 0 -42 + -7r = -21 Add '42' to each side of the equation. -42 + 42 + -7r = -21 + 42 Combine like terms: -42 + 42 = 0 0 + -7r = -21 + 42 -7r = -21 + 42 Combine like terms: -21 + 42 = 21 -7r = 21 Divide each side by '-7'. r = -3 Simplifying r = -3
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