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Simplifying 10(a + 9) = 6[a + -1(4 + -1a)] Reorder the terms: 10(9 + a) = 6[a + -1(4 + -1a)] (9 * 10 + a * 10) = 6[a + -1(4 + -1a)] (90 + 10a) = 6[a + -1(4 + -1a)] 90 + 10a = 6[a + (4 * -1 + -1a * -1)] 90 + 10a = 6[a + (-4 + 1a)] Reorder the terms: 90 + 10a = 6[-4 + a + 1a] Combine like terms: a + 1a = 2a 90 + 10a = 6[-4 + 2a] 90 + 10a = [-4 * 6 + 2a * 6] 90 + 10a = [-24 + 12a] Solving 90 + 10a = -24 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 90 + 10a + -12a = -24 + 12a + -12a Combine like terms: 10a + -12a = -2a 90 + -2a = -24 + 12a + -12a Combine like terms: 12a + -12a = 0 90 + -2a = -24 + 0 90 + -2a = -24 Add '-90' to each side of the equation. 90 + -90 + -2a = -24 + -90 Combine like terms: 90 + -90 = 0 0 + -2a = -24 + -90 -2a = -24 + -90 Combine like terms: -24 + -90 = -114 -2a = -114 Divide each side by '-2'. a = 57 Simplifying a = 57
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