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Simplifying -3b + -9 = 4 + -8(-2b + 4) Reorder the terms: -9 + -3b = 4 + -8(-2b + 4) Reorder the terms: -9 + -3b = 4 + -8(4 + -2b) -9 + -3b = 4 + (4 * -8 + -2b * -8) -9 + -3b = 4 + (-32 + 16b) Combine like terms: 4 + -32 = -28 -9 + -3b = -28 + 16b Solving -9 + -3b = -28 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. -9 + -3b + -16b = -28 + 16b + -16b Combine like terms: -3b + -16b = -19b -9 + -19b = -28 + 16b + -16b Combine like terms: 16b + -16b = 0 -9 + -19b = -28 + 0 -9 + -19b = -28 Add '9' to each side of the equation. -9 + 9 + -19b = -28 + 9 Combine like terms: -9 + 9 = 0 0 + -19b = -28 + 9 -19b = -28 + 9 Combine like terms: -28 + 9 = -19 -19b = -19 Divide each side by '-19'. b = 1 Simplifying b = 1
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