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Simplifying 18 + -6r = 8(4r + 7) Reorder the terms: 18 + -6r = 8(7 + 4r) 18 + -6r = (7 * 8 + 4r * 8) 18 + -6r = (56 + 32r) Solving 18 + -6r = 56 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. 18 + -6r + -32r = 56 + 32r + -32r Combine like terms: -6r + -32r = -38r 18 + -38r = 56 + 32r + -32r Combine like terms: 32r + -32r = 0 18 + -38r = 56 + 0 18 + -38r = 56 Add '-18' to each side of the equation. 18 + -18 + -38r = 56 + -18 Combine like terms: 18 + -18 = 0 0 + -38r = 56 + -18 -38r = 56 + -18 Combine like terms: 56 + -18 = 38 -38r = 38 Divide each side by '-38'. r = -1 Simplifying r = -1
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