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Simplifying 2(3a + -2) = 4(4a + -3) Reorder the terms: 2(-2 + 3a) = 4(4a + -3) (-2 * 2 + 3a * 2) = 4(4a + -3) (-4 + 6a) = 4(4a + -3) Reorder the terms: -4 + 6a = 4(-3 + 4a) -4 + 6a = (-3 * 4 + 4a * 4) -4 + 6a = (-12 + 16a) Solving -4 + 6a = -12 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -4 + 6a + -16a = -12 + 16a + -16a Combine like terms: 6a + -16a = -10a -4 + -10a = -12 + 16a + -16a Combine like terms: 16a + -16a = 0 -4 + -10a = -12 + 0 -4 + -10a = -12 Add '4' to each side of the equation. -4 + 4 + -10a = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -10a = -12 + 4 -10a = -12 + 4 Combine like terms: -12 + 4 = -8 -10a = -8 Divide each side by '-10'. a = 0.8 Simplifying a = 0.8
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