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Simplifying -7(t + 4) + -5r = -4(1 + 2r) Reorder the terms: -7(4 + t) + -5r = -4(1 + 2r) (4 * -7 + t * -7) + -5r = -4(1 + 2r) (-28 + -7t) + -5r = -4(1 + 2r) Reorder the terms: -28 + -5r + -7t = -4(1 + 2r) -28 + -5r + -7t = (1 * -4 + 2r * -4) -28 + -5r + -7t = (-4 + -8r) Solving -28 + -5r + -7t = -4 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -28 + -5r + 8r + -7t = -4 + -8r + 8r Combine like terms: -5r + 8r = 3r -28 + 3r + -7t = -4 + -8r + 8r Combine like terms: -8r + 8r = 0 -28 + 3r + -7t = -4 + 0 -28 + 3r + -7t = -4 Add '28' to each side of the equation. -28 + 3r + 28 + -7t = -4 + 28 Reorder the terms: -28 + 28 + 3r + -7t = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 3r + -7t = -4 + 28 3r + -7t = -4 + 28 Combine like terms: -4 + 28 = 24 3r + -7t = 24 Add '7t' to each side of the equation. 3r + -7t + 7t = 24 + 7t Combine like terms: -7t + 7t = 0 3r + 0 = 24 + 7t 3r = 24 + 7t Divide each side by '3'. r = 8 + 2.333333333t Simplifying r = 8 + 2.333333333t
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