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Simplifying 4(1 + -3r) + -6r = 7(2r + -4) (1 * 4 + -3r * 4) + -6r = 7(2r + -4) (4 + -12r) + -6r = 7(2r + -4) Combine like terms: -12r + -6r = -18r 4 + -18r = 7(2r + -4) Reorder the terms: 4 + -18r = 7(-4 + 2r) 4 + -18r = (-4 * 7 + 2r * 7) 4 + -18r = (-28 + 14r) Solving 4 + -18r = -28 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 4 + -18r + -14r = -28 + 14r + -14r Combine like terms: -18r + -14r = -32r 4 + -32r = -28 + 14r + -14r Combine like terms: 14r + -14r = 0 4 + -32r = -28 + 0 4 + -32r = -28 Add '-4' to each side of the equation. 4 + -4 + -32r = -28 + -4 Combine like terms: 4 + -4 = 0 0 + -32r = -28 + -4 -32r = -28 + -4 Combine like terms: -28 + -4 = -32 -32r = -32 Divide each side by '-32'. r = 1 Simplifying r = 1
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