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Simplifying 43 + 3r = -10(5 + 9r) 43 + 3r = (5 * -10 + 9r * -10) 43 + 3r = (-50 + -90r) Solving 43 + 3r = -50 + -90r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '90r' to each side of the equation. 43 + 3r + 90r = -50 + -90r + 90r Combine like terms: 3r + 90r = 93r 43 + 93r = -50 + -90r + 90r Combine like terms: -90r + 90r = 0 43 + 93r = -50 + 0 43 + 93r = -50 Add '-43' to each side of the equation. 43 + -43 + 93r = -50 + -43 Combine like terms: 43 + -43 = 0 0 + 93r = -50 + -43 93r = -50 + -43 Combine like terms: -50 + -43 = -93 93r = -93 Divide each side by '93'. r = -1 Simplifying r = -1
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