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Simplifying -7(5 + 3r) + 4 = 23 + -3r (5 * -7 + 3r * -7) + 4 = 23 + -3r (-35 + -21r) + 4 = 23 + -3r Reorder the terms: -35 + 4 + -21r = 23 + -3r Combine like terms: -35 + 4 = -31 -31 + -21r = 23 + -3r Solving -31 + -21r = 23 + -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. -31 + -21r + 3r = 23 + -3r + 3r Combine like terms: -21r + 3r = -18r -31 + -18r = 23 + -3r + 3r Combine like terms: -3r + 3r = 0 -31 + -18r = 23 + 0 -31 + -18r = 23 Add '31' to each side of the equation. -31 + 31 + -18r = 23 + 31 Combine like terms: -31 + 31 = 0 0 + -18r = 23 + 31 -18r = 23 + 31 Combine like terms: 23 + 31 = 54 -18r = 54 Divide each side by '-18'. r = -3 Simplifying r = -3
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