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Simplifying -15.5 + 19a = -4(-5a + 3) Reorder the terms: -15.5 + 19a = -4(3 + -5a) -15.5 + 19a = (3 * -4 + -5a * -4) -15.5 + 19a = (-12 + 20a) Solving -15.5 + 19a = -12 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -15.5 + 19a + -20a = -12 + 20a + -20a Combine like terms: 19a + -20a = -1a -15.5 + -1a = -12 + 20a + -20a Combine like terms: 20a + -20a = 0 -15.5 + -1a = -12 + 0 -15.5 + -1a = -12 Add '15.5' to each side of the equation. -15.5 + 15.5 + -1a = -12 + 15.5 Combine like terms: -15.5 + 15.5 = 0.0 0.0 + -1a = -12 + 15.5 -1a = -12 + 15.5 Combine like terms: -12 + 15.5 = 3.5 -1a = 3.5 Divide each side by '-1'. a = -3.5 Simplifying a = -3.5
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