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Simplifying 2a + -8 = 4(3a + 1) * 5 Reorder the terms: -8 + 2a = 4(3a + 1) * 5 Reorder the terms: -8 + 2a = 4(1 + 3a) * 5 Reorder the terms for easier multiplication: -8 + 2a = 4 * 5(1 + 3a) Multiply 4 * 5 -8 + 2a = 20(1 + 3a) -8 + 2a = (1 * 20 + 3a * 20) -8 + 2a = (20 + 60a) Solving -8 + 2a = 20 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. -8 + 2a + -60a = 20 + 60a + -60a Combine like terms: 2a + -60a = -58a -8 + -58a = 20 + 60a + -60a Combine like terms: 60a + -60a = 0 -8 + -58a = 20 + 0 -8 + -58a = 20 Add '8' to each side of the equation. -8 + 8 + -58a = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -58a = 20 + 8 -58a = 20 + 8 Combine like terms: 20 + 8 = 28 -58a = 28 Divide each side by '-58'. a = -0.4827586207 Simplifying a = -0.4827586207
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