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Simplifying -18 = -2 + 4(r + -7) Reorder the terms: -18 = -2 + 4(-7 + r) -18 = -2 + (-7 * 4 + r * 4) -18 = -2 + (-28 + 4r) Combine like terms: -2 + -28 = -30 -18 = -30 + 4r Solving -18 = -30 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -18 + -4r = -30 + 4r + -4r Combine like terms: 4r + -4r = 0 -18 + -4r = -30 + 0 -18 + -4r = -30 Add '18' to each side of the equation. -18 + 18 + -4r = -30 + 18 Combine like terms: -18 + 18 = 0 0 + -4r = -30 + 18 -4r = -30 + 18 Combine like terms: -30 + 18 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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