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Simplifying 4(2a + -3b) + a + -7 = 0 (2a * 4 + -3b * 4) + a + -7 = 0 (8a + -12b) + a + -7 = 0 Reorder the terms: -7 + 8a + a + -12b = 0 Combine like terms: 8a + a = 9a -7 + 9a + -12b = 0 Solving -7 + 9a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 9a + 7 + -12b = 0 + 7 Reorder the terms: -7 + 7 + 9a + -12b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9a + -12b = 0 + 7 9a + -12b = 0 + 7 Combine like terms: 0 + 7 = 7 9a + -12b = 7 Add '12b' to each side of the equation. 9a + -12b + 12b = 7 + 12b Combine like terms: -12b + 12b = 0 9a + 0 = 7 + 12b 9a = 7 + 12b Divide each side by '9'. a = 0.7777777778 + 1.333333333b Simplifying a = 0.7777777778 + 1.333333333b
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