-7(2p+3)-45=2(5p+3)

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Solution for -7(2p+3)-45=2(5p+3) equation:


Simplifying
-7(2p + 3) + -45 = 2(5p + 3)

Reorder the terms:
-7(3 + 2p) + -45 = 2(5p + 3)
(3 * -7 + 2p * -7) + -45 = 2(5p + 3)
(-21 + -14p) + -45 = 2(5p + 3)

Reorder the terms:
-21 + -45 + -14p = 2(5p + 3)

Combine like terms: -21 + -45 = -66
-66 + -14p = 2(5p + 3)

Reorder the terms:
-66 + -14p = 2(3 + 5p)
-66 + -14p = (3 * 2 + 5p * 2)
-66 + -14p = (6 + 10p)

Solving
-66 + -14p = 6 + 10p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-10p' to each side of the equation.
-66 + -14p + -10p = 6 + 10p + -10p

Combine like terms: -14p + -10p = -24p
-66 + -24p = 6 + 10p + -10p

Combine like terms: 10p + -10p = 0
-66 + -24p = 6 + 0
-66 + -24p = 6

Add '66' to each side of the equation.
-66 + 66 + -24p = 6 + 66

Combine like terms: -66 + 66 = 0
0 + -24p = 6 + 66
-24p = 6 + 66

Combine like terms: 6 + 66 = 72
-24p = 72

Divide each side by '-24'.
p = -3

Simplifying
p = -3

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