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Simplifying 4(3q + -2) + -4 = 16q + 4 Reorder the terms: 4(-2 + 3q) + -4 = 16q + 4 (-2 * 4 + 3q * 4) + -4 = 16q + 4 (-8 + 12q) + -4 = 16q + 4 Reorder the terms: -8 + -4 + 12q = 16q + 4 Combine like terms: -8 + -4 = -12 -12 + 12q = 16q + 4 Reorder the terms: -12 + 12q = 4 + 16q Solving -12 + 12q = 4 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. -12 + 12q + -16q = 4 + 16q + -16q Combine like terms: 12q + -16q = -4q -12 + -4q = 4 + 16q + -16q Combine like terms: 16q + -16q = 0 -12 + -4q = 4 + 0 -12 + -4q = 4 Add '12' to each side of the equation. -12 + 12 + -4q = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -4q = 4 + 12 -4q = 4 + 12 Combine like terms: 4 + 12 = 16 -4q = 16 Divide each side by '-4'. q = -4 Simplifying q = -4
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