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Simplifying 10(a + 7) = 3[a + -1(9 + -1a)] Reorder the terms: 10(7 + a) = 3[a + -1(9 + -1a)] (7 * 10 + a * 10) = 3[a + -1(9 + -1a)] (70 + 10a) = 3[a + -1(9 + -1a)] 70 + 10a = 3[a + (9 * -1 + -1a * -1)] 70 + 10a = 3[a + (-9 + 1a)] Reorder the terms: 70 + 10a = 3[-9 + a + 1a] Combine like terms: a + 1a = 2a 70 + 10a = 3[-9 + 2a] 70 + 10a = [-9 * 3 + 2a * 3] 70 + 10a = [-27 + 6a] Solving 70 + 10a = -27 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 70 + 10a + -6a = -27 + 6a + -6a Combine like terms: 10a + -6a = 4a 70 + 4a = -27 + 6a + -6a Combine like terms: 6a + -6a = 0 70 + 4a = -27 + 0 70 + 4a = -27 Add '-70' to each side of the equation. 70 + -70 + 4a = -27 + -70 Combine like terms: 70 + -70 = 0 0 + 4a = -27 + -70 4a = -27 + -70 Combine like terms: -27 + -70 = -97 4a = -97 Divide each side by '4'. a = -24.25 Simplifying a = -24.25
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