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Simplifying -143 = -1a + 4(7a + -2) Reorder the terms: -143 = -1a + 4(-2 + 7a) -143 = -1a + (-2 * 4 + 7a * 4) -143 = -1a + (-8 + 28a) Reorder the terms: -143 = -8 + -1a + 28a Combine like terms: -1a + 28a = 27a -143 = -8 + 27a Solving -143 = -8 + 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. -143 + -27a = -8 + 27a + -27a Combine like terms: 27a + -27a = 0 -143 + -27a = -8 + 0 -143 + -27a = -8 Add '143' to each side of the equation. -143 + 143 + -27a = -8 + 143 Combine like terms: -143 + 143 = 0 0 + -27a = -8 + 143 -27a = -8 + 143 Combine like terms: -8 + 143 = 135 -27a = 135 Divide each side by '-27'. a = -5 Simplifying a = -5
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