25*(a-2)-5*(4-a)=30*(a-7)+153

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Solution for 25*(a-2)-5*(4-a)=30*(a-7)+153 equation:


Simplifying
25(a + -2) + -5(4 + -1a) = 30(a + -7) + 153

Reorder the terms:
25(-2 + a) + -5(4 + -1a) = 30(a + -7) + 153
(-2 * 25 + a * 25) + -5(4 + -1a) = 30(a + -7) + 153
(-50 + 25a) + -5(4 + -1a) = 30(a + -7) + 153
-50 + 25a + (4 * -5 + -1a * -5) = 30(a + -7) + 153
-50 + 25a + (-20 + 5a) = 30(a + -7) + 153

Reorder the terms:
-50 + -20 + 25a + 5a = 30(a + -7) + 153

Combine like terms: -50 + -20 = -70
-70 + 25a + 5a = 30(a + -7) + 153

Combine like terms: 25a + 5a = 30a
-70 + 30a = 30(a + -7) + 153

Reorder the terms:
-70 + 30a = 30(-7 + a) + 153
-70 + 30a = (-7 * 30 + a * 30) + 153
-70 + 30a = (-210 + 30a) + 153

Reorder the terms:
-70 + 30a = -210 + 153 + 30a

Combine like terms: -210 + 153 = -57
-70 + 30a = -57 + 30a

Add '-30a' to each side of the equation.
-70 + 30a + -30a = -57 + 30a + -30a

Combine like terms: 30a + -30a = 0
-70 + 0 = -57 + 30a + -30a
-70 = -57 + 30a + -30a

Combine like terms: 30a + -30a = 0
-70 = -57 + 0
-70 = -57

Solving
-70 = -57

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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