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Simplifying -6 + 3(b + -5) = 8(-4b + -7) Reorder the terms: -6 + 3(-5 + b) = 8(-4b + -7) -6 + (-5 * 3 + b * 3) = 8(-4b + -7) -6 + (-15 + 3b) = 8(-4b + -7) Combine like terms: -6 + -15 = -21 -21 + 3b = 8(-4b + -7) Reorder the terms: -21 + 3b = 8(-7 + -4b) -21 + 3b = (-7 * 8 + -4b * 8) -21 + 3b = (-56 + -32b) Solving -21 + 3b = -56 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. -21 + 3b + 32b = -56 + -32b + 32b Combine like terms: 3b + 32b = 35b -21 + 35b = -56 + -32b + 32b Combine like terms: -32b + 32b = 0 -21 + 35b = -56 + 0 -21 + 35b = -56 Add '21' to each side of the equation. -21 + 21 + 35b = -56 + 21 Combine like terms: -21 + 21 = 0 0 + 35b = -56 + 21 35b = -56 + 21 Combine like terms: -56 + 21 = -35 35b = -35 Divide each side by '35'. b = -1 Simplifying b = -1
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