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Simplifying 10 = 7(8 + 6r) + -4(2 + r) 10 = (8 * 7 + 6r * 7) + -4(2 + r) 10 = (56 + 42r) + -4(2 + r) 10 = 56 + 42r + (2 * -4 + r * -4) 10 = 56 + 42r + (-8 + -4r) Reorder the terms: 10 = 56 + -8 + 42r + -4r Combine like terms: 56 + -8 = 48 10 = 48 + 42r + -4r Combine like terms: 42r + -4r = 38r 10 = 48 + 38r Solving 10 = 48 + 38r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38r' to each side of the equation. 10 + -38r = 48 + 38r + -38r Combine like terms: 38r + -38r = 0 10 + -38r = 48 + 0 10 + -38r = 48 Add '-10' to each side of the equation. 10 + -10 + -38r = 48 + -10 Combine like terms: 10 + -10 = 0 0 + -38r = 48 + -10 -38r = 48 + -10 Combine like terms: 48 + -10 = 38 -38r = 38 Divide each side by '-38'. r = -1 Simplifying r = -1
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