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Simplifying -4 = -2a + 3(-10a + 2) Reorder the terms: -4 = -2a + 3(2 + -10a) -4 = -2a + (2 * 3 + -10a * 3) -4 = -2a + (6 + -30a) Reorder the terms: -4 = 6 + -2a + -30a Combine like terms: -2a + -30a = -32a -4 = 6 + -32a Solving -4 = 6 + -32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32a' to each side of the equation. -4 + 32a = 6 + -32a + 32a Combine like terms: -32a + 32a = 0 -4 + 32a = 6 + 0 -4 + 32a = 6 Add '4' to each side of the equation. -4 + 4 + 32a = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 32a = 6 + 4 32a = 6 + 4 Combine like terms: 6 + 4 = 10 32a = 10 Divide each side by '32'. a = 0.3125 Simplifying a = 0.3125
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