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Simplifying 103 = -7(1 + 3r) + -1r 103 = (1 * -7 + 3r * -7) + -1r 103 = (-7 + -21r) + -1r Combine like terms: -21r + -1r = -22r 103 = -7 + -22r Solving 103 = -7 + -22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '22r' to each side of the equation. 103 + 22r = -7 + -22r + 22r Combine like terms: -22r + 22r = 0 103 + 22r = -7 + 0 103 + 22r = -7 Add '-103' to each side of the equation. 103 + -103 + 22r = -7 + -103 Combine like terms: 103 + -103 = 0 0 + 22r = -7 + -103 22r = -7 + -103 Combine like terms: -7 + -103 = -110 22r = -110 Divide each side by '22'. r = -5 Simplifying r = -5
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