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Simplifying 7(-7a + -7) = 6(2a + 4) Reorder the terms: 7(-7 + -7a) = 6(2a + 4) (-7 * 7 + -7a * 7) = 6(2a + 4) (-49 + -49a) = 6(2a + 4) Reorder the terms: -49 + -49a = 6(4 + 2a) -49 + -49a = (4 * 6 + 2a * 6) -49 + -49a = (24 + 12a) Solving -49 + -49a = 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. -49 + -49a + -12a = 24 + 12a + -12a Combine like terms: -49a + -12a = -61a -49 + -61a = 24 + 12a + -12a Combine like terms: 12a + -12a = 0 -49 + -61a = 24 + 0 -49 + -61a = 24 Add '49' to each side of the equation. -49 + 49 + -61a = 24 + 49 Combine like terms: -49 + 49 = 0 0 + -61a = 24 + 49 -61a = 24 + 49 Combine like terms: 24 + 49 = 73 -61a = 73 Divide each side by '-61'. a = -1.196721311 Simplifying a = -1.196721311
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