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Simplifying 4(a + -6) * 4 = 2a + -6 Reorder the terms: 4(-6 + a) * 4 = 2a + -6 Reorder the terms for easier multiplication: 4 * 4(-6 + a) = 2a + -6 Multiply 4 * 4 16(-6 + a) = 2a + -6 (-6 * 16 + a * 16) = 2a + -6 (-96 + 16a) = 2a + -6 Reorder the terms: -96 + 16a = -6 + 2a Solving -96 + 16a = -6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -96 + 16a + -2a = -6 + 2a + -2a Combine like terms: 16a + -2a = 14a -96 + 14a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -96 + 14a = -6 + 0 -96 + 14a = -6 Add '96' to each side of the equation. -96 + 96 + 14a = -6 + 96 Combine like terms: -96 + 96 = 0 0 + 14a = -6 + 96 14a = -6 + 96 Combine like terms: -6 + 96 = 90 14a = 90 Divide each side by '14'. a = 6.428571429 Simplifying a = 6.428571429
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