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Simplifying -4(-6b + 7) + -16b = 4(7b + -12) Reorder the terms: -4(7 + -6b) + -16b = 4(7b + -12) (7 * -4 + -6b * -4) + -16b = 4(7b + -12) (-28 + 24b) + -16b = 4(7b + -12) Combine like terms: 24b + -16b = 8b -28 + 8b = 4(7b + -12) Reorder the terms: -28 + 8b = 4(-12 + 7b) -28 + 8b = (-12 * 4 + 7b * 4) -28 + 8b = (-48 + 28b) Solving -28 + 8b = -48 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. -28 + 8b + -28b = -48 + 28b + -28b Combine like terms: 8b + -28b = -20b -28 + -20b = -48 + 28b + -28b Combine like terms: 28b + -28b = 0 -28 + -20b = -48 + 0 -28 + -20b = -48 Add '28' to each side of the equation. -28 + 28 + -20b = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -20b = -48 + 28 -20b = -48 + 28 Combine like terms: -48 + 28 = -20 -20b = -20 Divide each side by '-20'. b = 1 Simplifying b = 1
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