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Simplifying -4(r + 4) = -30 + 3r Reorder the terms: -4(4 + r) = -30 + 3r (4 * -4 + r * -4) = -30 + 3r (-16 + -4r) = -30 + 3r Solving -16 + -4r = -30 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -16 + -4r + -3r = -30 + 3r + -3r Combine like terms: -4r + -3r = -7r -16 + -7r = -30 + 3r + -3r Combine like terms: 3r + -3r = 0 -16 + -7r = -30 + 0 -16 + -7r = -30 Add '16' to each side of the equation. -16 + 16 + -7r = -30 + 16 Combine like terms: -16 + 16 = 0 0 + -7r = -30 + 16 -7r = -30 + 16 Combine like terms: -30 + 16 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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