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Simplifying 15r2 + -7 + -5r(3r + 4) = 3(7 + -4r) Reorder the terms: 15r2 + -7 + -5r(4 + 3r) = 3(7 + -4r) 15r2 + -7 + (4 * -5r + 3r * -5r) = 3(7 + -4r) 15r2 + -7 + (-20r + -15r2) = 3(7 + -4r) Reorder the terms: -7 + -20r + 15r2 + -15r2 = 3(7 + -4r) Combine like terms: 15r2 + -15r2 = 0 -7 + -20r + 0 = 3(7 + -4r) -7 + -20r = 3(7 + -4r) -7 + -20r = (7 * 3 + -4r * 3) -7 + -20r = (21 + -12r) Solving -7 + -20r = 21 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. -7 + -20r + 12r = 21 + -12r + 12r Combine like terms: -20r + 12r = -8r -7 + -8r = 21 + -12r + 12r Combine like terms: -12r + 12r = 0 -7 + -8r = 21 + 0 -7 + -8r = 21 Add '7' to each side of the equation. -7 + 7 + -8r = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -8r = 21 + 7 -8r = 21 + 7 Combine like terms: 21 + 7 = 28 -8r = 28 Divide each side by '-8'. r = -3.5 Simplifying r = -3.5
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