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Simplifying 14b + -10(9 + 13b) = 16b + -90 14b + (9 * -10 + 13b * -10) = 16b + -90 14b + (-90 + -130b) = 16b + -90 Reorder the terms: -90 + 14b + -130b = 16b + -90 Combine like terms: 14b + -130b = -116b -90 + -116b = 16b + -90 Reorder the terms: -90 + -116b = -90 + 16b Add '90' to each side of the equation. -90 + 90 + -116b = -90 + 90 + 16b Combine like terms: -90 + 90 = 0 0 + -116b = -90 + 90 + 16b -116b = -90 + 90 + 16b Combine like terms: -90 + 90 = 0 -116b = 0 + 16b -116b = 16b Solving -116b = 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. -116b + -16b = 16b + -16b Combine like terms: -116b + -16b = -132b -132b = 16b + -16b Combine like terms: 16b + -16b = 0 -132b = 0 Divide each side by '-132'. b = 0 Simplifying b = 0
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