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Simplifying 3(-3 + 19b) = -4(-15b + 3) (-3 * 3 + 19b * 3) = -4(-15b + 3) (-9 + 57b) = -4(-15b + 3) Reorder the terms: -9 + 57b = -4(3 + -15b) -9 + 57b = (3 * -4 + -15b * -4) -9 + 57b = (-12 + 60b) Solving -9 + 57b = -12 + 60b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-60b' to each side of the equation. -9 + 57b + -60b = -12 + 60b + -60b Combine like terms: 57b + -60b = -3b -9 + -3b = -12 + 60b + -60b Combine like terms: 60b + -60b = 0 -9 + -3b = -12 + 0 -9 + -3b = -12 Add '9' to each side of the equation. -9 + 9 + -3b = -12 + 9 Combine like terms: -9 + 9 = 0 0 + -3b = -12 + 9 -3b = -12 + 9 Combine like terms: -12 + 9 = -3 -3b = -3 Divide each side by '-3'. b = 1 Simplifying b = 1
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