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Simplifying 4(2r + -1) = -2(3r + 16) Reorder the terms: 4(-1 + 2r) = -2(3r + 16) (-1 * 4 + 2r * 4) = -2(3r + 16) (-4 + 8r) = -2(3r + 16) Reorder the terms: -4 + 8r = -2(16 + 3r) -4 + 8r = (16 * -2 + 3r * -2) -4 + 8r = (-32 + -6r) Solving -4 + 8r = -32 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -4 + 8r + 6r = -32 + -6r + 6r Combine like terms: 8r + 6r = 14r -4 + 14r = -32 + -6r + 6r Combine like terms: -6r + 6r = 0 -4 + 14r = -32 + 0 -4 + 14r = -32 Add '4' to each side of the equation. -4 + 4 + 14r = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 14r = -32 + 4 14r = -32 + 4 Combine like terms: -32 + 4 = -28 14r = -28 Divide each side by '14'. r = -2 Simplifying r = -2
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