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Simplifying -2(r + 1) + -4(4r + 7) + -15r = 0 Reorder the terms: -2(1 + r) + -4(4r + 7) + -15r = 0 (1 * -2 + r * -2) + -4(4r + 7) + -15r = 0 (-2 + -2r) + -4(4r + 7) + -15r = 0 Reorder the terms: -2 + -2r + -4(7 + 4r) + -15r = 0 -2 + -2r + (7 * -4 + 4r * -4) + -15r = 0 -2 + -2r + (-28 + -16r) + -15r = 0 Reorder the terms: -2 + -28 + -2r + -16r + -15r = 0 Combine like terms: -2 + -28 = -30 -30 + -2r + -16r + -15r = 0 Combine like terms: -2r + -16r = -18r -30 + -18r + -15r = 0 Combine like terms: -18r + -15r = -33r -30 + -33r = 0 Solving -30 + -33r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -33r = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -33r = 0 + 30 -33r = 0 + 30 Combine like terms: 0 + 30 = 30 -33r = 30 Divide each side by '-33'. r = -0.9090909091 Simplifying r = -0.9090909091
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