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Simplifying -45 = 4 + -7(3r + -8) Reorder the terms: -45 = 4 + -7(-8 + 3r) -45 = 4 + (-8 * -7 + 3r * -7) -45 = 4 + (56 + -21r) Combine like terms: 4 + 56 = 60 -45 = 60 + -21r Solving -45 = 60 + -21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21r' to each side of the equation. -45 + 21r = 60 + -21r + 21r Combine like terms: -21r + 21r = 0 -45 + 21r = 60 + 0 -45 + 21r = 60 Add '45' to each side of the equation. -45 + 45 + 21r = 60 + 45 Combine like terms: -45 + 45 = 0 0 + 21r = 60 + 45 21r = 60 + 45 Combine like terms: 60 + 45 = 105 21r = 105 Divide each side by '21'. r = 5 Simplifying r = 5
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